8,148
8,148 is a composite number, even.
8,148 (eight thousand one hundred forty-eight) is an even 4-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 7 × 97. Its proper divisors sum to 13,804, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1FD4.
Interestingness
Properties
- Parity
- Even
- Digit count
- 4
- Digit sum
- 21
- Digit product
- 256
- Digital root
- 3
- Palindrome
- No
- Bit width
- 13 bits
- Reversed
- 8,418
- Recamán's sequence
- a(10,471) = 8,148
- Square (n²)
- 66,389,904
- Cube (n³)
- 540,944,937,792
- Divisor count
- 24
- σ(n) — sum of divisors
- 21,952
- φ(n) — Euler's totient
- 2,304
- Sum of prime factors
- 111
Primality
Prime factorization: 2 2 × 3 × 7 × 97
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√8,148 = [90; (3, 1, 3, 11, 60, 11, 3, 1, 3, 180)]
Period length 10 — the block in parentheses repeats forever.
Representations
- In words
- eight thousand one hundred forty-eight
- Ordinal
- 8148th
- Binary
- 1111111010100
- Octal
- 17724
- Hexadecimal
- 0x1FD4
- Base64
- H9Q=
- One's complement
- 57,387 (16-bit)
- Scientific notation
- 8.148 × 10³
- As a duration
- 8,148 s = 2 hours, 15 minutes, 48 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ηρμηʹ
- Mayan (base 20)
- 𝋡·𝋠·𝋧·𝋨
- Chinese
- 八千一百四十八
- Chinese (financial)
- 捌仟壹佰肆拾捌
Digit at this position in famous constants
- π — Pi (π)
- Digit 8,148 = 4
- e — Euler's number (e)
- Digit 8,148 = 3
- φ — Golden ratio (φ)
- Digit 8,148 = 0
- √2 — Pythagoras's (√2)
- Digit 8,148 = 3
- ln 2 — Natural log of 2
- Digit 8,148 = 2
- γ — Euler-Mascheroni (γ)
- Digit 8,148 = 3
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 8148, here are decompositions:
- 31 + 8117 = 8148
- 37 + 8111 = 8148
- 47 + 8101 = 8148
- 59 + 8089 = 8148
- 61 + 8087 = 8148
- 67 + 8081 = 8148
- 79 + 8069 = 8148
- 89 + 8059 = 8148
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.0.31.212.
- Address
- 0.0.31.212
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.31.212
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 8,148 Hz is closest to:
- Concert pitch (A4 = 440 Hz): C9 (8372 Hz, -47¢ — about midway to B8)
- Scientific pitch (C4 = 256 Hz): C9 (8192 Hz, -9¢)
- Baroque pitch (A4 = 415 Hz): C♯9 (8365.9 Hz, -46¢ — about midway to C9)
The digit sequence 8148 first appears in π at position 5,315 of the decimal expansion (the 5,315ordinal-suffix:th digit after the integer 3).
Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.
Related reading
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.